UDC 536.21

Rajneesh Kumar and Tarun Kansal

PROPAGATION OF RAYLEIGH WAVES IN TRANSVERSELY ISOTROPIC 
GENERALIZED THERMOELASTIC DIFFUSION

The paper is devoted to the study of propagation of Rayleigh 
waves in a homogeneous, transversely isotropic, thermoelastic diffusive 
half-space which is subjected to stress-free, thermally insulated/isothermal, 
and chemical potential boundary conditions in the context of the generalized 
theory of thermoelastic diffusion. The Lord and Shulman theory,  where 
thermal and thermomechanical relaxation as well as diffusion relaxation 
are  governed by two different time constants, is selected. Secular 
equations for surface wave propagation in the considered media are 
derived. The amplitudes of surface displacements, temperature change, 
and concentration are computed. The paths of the surface particles 
are determined. Transverse isotropy and diffusion effects on the phase 
velocity, group velocity, and attenuation coefficient are presented 
graphically.

Keywords: Wave propagation; transversely isotropic solid; generalized 
thermoelastic diffusion; phase velocity; group velocity; attenuation 
Coefficient.

Department of Mathematics, Kurukshetra University, Kurukshetra-136 
119, India; email: rajneesh_kuk@rediffmail.com. 
Original article submitted July 12, 2008; revision submitted October 13, 2008.